Basic Properties
Free (non-interacting) fermionic fields obey canonical anticommutation relations, i.e., involve the anticommutators {a,b} = ab + ba rather than the commutators = ab − ba of bosonic or standard quantum mechanics. Those relations also hold for interacting fermionic fields in the interaction picture, where the fields evolve in time as if free and the effects of the interaction are encoded in the evolution of the states.
It is these anticommutation relations that imply Fermi–Dirac statistics for the field quanta. They also result in the Pauli exclusion principle: two fermionic particles cannot occupy the same state at the same time.
Read more about this topic: Fermionic Field
Famous quotes containing the words basic and/or properties:
“Surrealism is not a school of poetry but a movement of liberation.... A way of rediscovering the language of innocence, a renewal of the primordial pact, poetry is the basic text, the foundation of the human order. Surrealism is revolutionary because it is a return to the beginning of all beginnings.”
—Octavio Paz (b. 1914)
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)